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Home » Thus, the area enclosed by the roundabout is \(\boxed100\pi\). - Appcentric

Thus, the area enclosed by the roundabout is \(\boxed100\pi\). - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Use the quadratic formula: \( t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)

📌 Here, \( a = 1, b = -4, c = -10 \)

📌 \( t = \frac{4 \pm \sqrt{16 + 40}}{2} \)

📌 \( t = \frac{4 \pm \sqrt{56}}{2} \)

📌 \( t = \frac{4 \pm 2\sqrt{14}}{2} \)

📌 \( t = 2 \pm \sqrt{14} \)

📌 Only the positive root is meaningful: \( t = 2 + \sqrt{14} \approx 5.74 \) seconds

📌 #### 5.74 seconds

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